Expanding brackets
This section explores expanding brackets. It covers multiplying a bracket by a single term, and multiplying pairs of pairs of different brackets. In this article we shall first look at some examples of expanding...
This section explores expanding brackets. It covers multiplying a bracket by a single term, and multiplying pairs of pairs of different brackets. In this article we shall first look at some examples of expanding...
This chapter explores graphs transformation. It covers effects which occur when the graphs of f(x) is transformed such as y=af(x), y=f(x)+a, y=f(x+a) and y=f(ax). You must have prior knowledge of basic shapes of graphics...
This chapter explores integration by parts. You must have prior knowledge of integrating trigonometric functions, ex and lnx and the product rule. Integration by parts helps us to integrate more complicated products such as;
This section explores simplifying algebraic fractions; Here we focus on simplifying expressions with fractions by factorising and cancelling, adding, subtracting, multiplying and adding algebraic fractions and lastly solving equations which involve fractions. You must...
This article explores cancelling algebraic fractions. It covers cancelling down algebraic fractions including brackets. Prior knowledge of factorisation and expanding will be useful in this article When working with fractions you can sometimes divide...
This section explores adding algebraic fractions. It covers adding algebraic fractions with a single term in the denominator, adding fractions with linear denominators, adding fractions with quadratic denominators which will be quite advanced for...
This article explores quadratic sequences. We shall explore how to find the nth term of a quadratic sequence and workout the terms in a sequence given the nth term. Baisc knowledge of sequences will...
In this article we shall be exploring the R-alpha method. We shall explore how to use expressions such as Rcos(x+α) and Rsin(x-α) in connection with acosx ± bsinx. Furthermore we shall explore how to...
In this chapter we shall be exploring the cosine rule. In trigonometry we can use the cosine rule to find the missing sides and angles in a triangle. You must have some basic knowledge...